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Finding the Fourth Proportional to 10,103.72, 15,155.22 and 3,083.45

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Solution

The fourth proportional to 10,103.72, 15,155.22 and 3,083.45 is: 4,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.72 : 15,155.22 = 3,083.45 : x
  2. Step 2: Convert to fraction form
    10,103.72/15,155.22 = 3,083.45/x
  3. Step 3: Cross multiply
    10,103.72x = 15,155.22 × 3,083.45
  4. Step 4: Simplify right side
    10,103.72x = 46,730,363.11
  5. Step 5: Solve for x
    x = 46,730,363.11/10,103.72
  6. Step 6: Final answer
    x = 4,625.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.